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Finding the Fourth Proportional to 2,387.74, 3,577.41 and 2,297.83

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Solution

The fourth proportional to 2,387.74, 3,577.41 and 2,297.83 is: 3,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.74 : 3,577.41 = 2,297.83 : x
  2. Step 2: Convert to fraction form
    2,387.74/3,577.41 = 2,297.83/x
  3. Step 3: Cross multiply
    2,387.74x = 3,577.41 × 2,297.83
  4. Step 4: Simplify right side
    2,387.74x = 8,220,280.02
  5. Step 5: Solve for x
    x = 8,220,280.02/2,387.74
  6. Step 6: Final answer
    x = 3,442.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.